This made me set my coffee cup aside:
Even though mathematicians have spent over 2,000 years dissecting the structure of the five Platonic solids — the tetrahedron, cube, octahedron, icosahedron and dodecahedron — there’s still a lot we don’t know about them. Now, a trio of mathematicians has resolved one of the most basic questions about the dodecahedron.
Not is it just amazing that we hadn’t figured out yet how to solve this case, this article makes me actually understand what the mathematicians did!
And what’s best: They had fun while solving the problem:
The analysis was “one of the most fun projects I’ve gotten to work on in my whole career,” Athreya said. “It’s important to keep playing with things.”
The new result shows that even objects that have been studied for thousands of years can still hold secrets, Eskin said. “I think even for [the three mathematicians], it was very, very surprising to say something new about the dodecahedron.”